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Finding the Third Proportional to 151,992 and 235,369.50

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Solution

The third proportional to 151,992 and 235,369.50 is: 364,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,992 : 235,369.50 = 235,369.50 : x
  2. Step 2: Convert to fraction form
    151,992/235,369.50 = 235,369.50/x
  3. Step 3: Cross multiply
    151,992x = 235,369.50 × 235,369.50
  4. Step 4: Simplify right side
    151,992x = 55,398,801,530.25
  5. Step 5: Solve for x
    x = 55,398,801,530.25/151,992
  6. Step 6: Final answer
    x = 364,484.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.